Phase synchronization in time-delay systems

被引：55
|
作者：
Senthilkumar, D. V. [1 ]
Lakshmanan, M.
Kurths, J.
机构：
[1] Bharathidasan Univ, Dept Phys, Ctr Nonlinear Dynam, Tiruchirappalli 620024, India
[2] Univ Potsdam, Inst Phys, D-14469 Potsdam, Germany
来源：
PHYSICAL REVIEW E | 2006年 / 74卷 / 03期
关键词：
D O I：
10.1103/PhysRevE.74.035205
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
Though the notion of phase synchronization has been well studied in chaotic dynamical systems without delay, it has not been realized yet in chaotic time-delay systems exhibiting non-phase-coherent hyperchaotic attractors. In this paper we report identification of phase synchronization in coupled time-delay systems exhibiting hyperchaotic attractor. We show that there is a transition from nonsynchronized behavior to phase and then to generalized synchronization as a function of coupling strength. These transitions are characterized by recurrence quantification analysis, by phase differences based on a transformation of the attractors, and also by the changes in the Lyapunov exponents. We have found these transitions in coupled piecewise linear and in Mackey-Glass time-delay systems.
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页数：4
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